Search a number
-
+
135160 = 23531109
BaseRepresentation
bin100000111111111000
320212101221
4200333320
513311120
62521424
71102024
oct407770
9225357
10135160
1192603
1266274
134969c
1437384
152a0aa
hex20ff8

135160 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 51840.

The previous prime is 135151. The next prime is 135173. The reversal of 135160 is 61531.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

135160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 1294.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2135160 is an apocalyptic number.

135160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

135160 is an abundant number, since it is smaller than the sum of its proper divisors (181640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135160 is a wasteful number, since it uses less digits than its factorization.

135160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135160 is about 367.6411293639. The cubic root of 135160 is about 51.3195367807.

Adding to 135160 its reverse (61531), we get a palindrome (196691).

The spelling of 135160 in words is "one hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 1090 1240 2180 3379 4360 6758 13516 16895 27032 33790 67580 135160